Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory

DOI10.4171/PM/2074zbMath1484.35061MaRDI QIDQ2076570

Hizia Bounadja, Serge Nicaise

Publication date: 22 February 2022

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

zbMATH Keywords

memory kernelpolynomial stabilityMoore-Gibson-Thompson equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Initial-boundary value problems for linear higher-order PDEs (35G16) Integro-partial differential equations (35R09)

Cites Work

• Mathematics of nonlinear acoustics
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• Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation
• The Moore-Gibson-Thompson equation with memory in the critical case
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• Optimal polynomial decay of functions and operator semigroups
• Non-uniform stability for bounded semi-groups on Banach spaces
• Vector-valued Laplace transforms and Cauchy problems
• Energy decay for a locally undamped wave equation
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Sharp polynomial decay rates for the damped wave equation on the torus
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• Polynomial stability of operator semigroups
• Laplace Eigenfunctions and Damped Wave Equation on Product Manifolds
• On the Spectrum of C 0 -Semigroups
• Asymptotic stability of linear differential equations in Banach spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Locally Distributed Control and Damping for the Conservative Systems
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